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Finding the Fourth Proportional to 282.42, 423.83 and 128.43

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Solution

The fourth proportional to 282.42, 423.83 and 128.43 is: 192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.42 : 423.83 = 128.43 : x
  2. Step 2: Convert to fraction form
    282.42/423.83 = 128.43/x
  3. Step 3: Cross multiply
    282.42x = 423.83 × 128.43
  4. Step 4: Simplify right side
    282.42x = 54,432.81
  5. Step 5: Solve for x
    x = 54,432.81/282.42
  6. Step 6: Final answer
    x = 192.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.